A Monte Carlo Investigation of the Analysis of Variance Applied to Non-Independent Bernoulli Variates.

Draper, John F., Jr.

The applicability of the Analysis of Variance, ANOVA, procedures to the analysis of dichotomous repeated measure data is described. The design models for which data were simulated in this investigation were chosen to represent simple cases of two experimental situations: situation one, in which subjects' responses to a single randomly selected set of three stimuli or items were evaluated dichotomously on four successive occasions, and situation two, in which subjects' responses are evaluated dichotomously on four successive occasions with respect to four separate randomly selected set of three stimuli or items. The two experimental situations are represented by "three way factorial" designs with random factors for subjects and items and a fixed factor for occasions; the first with subjects, items and occasions completely crossed and the second with items and occasions crossed with subjects, but with items nested within occasions. Results of the study are presented in 11 tables and 7 figures. (Author/DB)